Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 107 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 18. #11718344 | C4 | semidirect |
| 19. #11718341 | C4 | semidirect |
| 51. #88052 | Q8 | semidirect |
| 53. C2×#6090 | Q8 | semidirect |
| 209. C13 | #13291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125367 | 2 |
| #13116441 | 2 |
| #13112950 | 2 |
| #13112941 | 2 |
| #13112937 | 2 |
| #13112936 | 2 |
| C13×#1833 | 2 |
| #13291 | 13 |